Our approach differs from that of other studies in that we consider realistic attractant distributions and extended tumbling times. The latter is essential for the speculator response to work as it allows bacteria to maintain their position in regions of high attractant concentration. Previous studies [1]}, [2]}, [3]} modeled tumbles as instantaneous after chemotaxis in E. coli [4]}, however, experimental evidence from other bacterial species shows longer tumbling times [5]}, [6]}. Our results add to the growing body of evidence that extended tumbles allow for emergence of other modes of chemotaxis [7]}, [8]}, [9]}.
